On the picard group of involutive algebras and coalgebras

Marco A. Farinati, Andrea Solotar
1998 Communications in Algebra  
We study how Hilbert bimodules correspond in the algebraic case to hermitian Morita equivalences and consequently we obtain a description of the hermitian Picard group of a commutative involutive algebra A as the semidirect product of the classical hermitian Picard group of A and the automorphisms of A commuting with the involution. We also obtain similar decomposition results on hermitian Picard groups of involutive coalgebras (C, ωC ), which show, at least in the cocommutative case, that this
more » ... hermitian Picard group differs considerably from the non hermitian one.
doi:10.1080/00927879808826264 fatcat:kafbx5c5g5bm5ljeaw5npvclmu